149296447080000 has 1120 divisors, whose sum is σ = 599487053235840. Its totient is φ = 36122112000000.

The previous prime is 149296447079981. The next prime is 149296447080019. The reversal of 149296447080000 is 80744692941.

149296447080000 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 96 + 4 + 470 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149296447079981) and next prime (149296447080019).

It is a super-2 number, since 2×149296447080000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6189467940 + ... + 6189492060.

It is an arithmetic number, because the mean of its divisors is an integer number (535256297532).

Almost surely, 2^{149296447080000} is an apocalyptic number.

149296447080000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149296447080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299743526617920).

149296447080000 is an abundant number, since it is smaller than the sum of its proper divisors (450190606155840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149296447080000 is a wasteful number, since it uses less digits than its factorization.

149296447080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24694 (or 24663 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 149296447080000 in words is "one hundred forty-nine trillion, two hundred ninety-six billion, four hundred forty-seven million, eighty thousand".